Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th March 2005
- 1Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 2Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
- 3Bounds3 marks
A rectangle is 9 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 3.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
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